Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 4, Problem 39QAP
To determine
The light-gathering power of telescope compared with that of the dark-adapted human eye.
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The large space telescope that has been placed into an Earth orbit has an aperture diameter of 1.4
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Chapter 4 Solutions
Understanding Our Universe
Ch. 4.1 - Prob. 4.1CYUCh. 4.2 - Prob. 4.2CYUCh. 4.3 - Prob. 4.3CYUCh. 4 - Prob. 1QAPCh. 4 - Prob. 2QAPCh. 4 - Prob. 3QAPCh. 4 - Prob. 4QAPCh. 4 - Prob. 5QAPCh. 4 - Prob. 6QAPCh. 4 - Prob. 7QAP
Ch. 4 - Prob. 8QAPCh. 4 - Prob. 9QAPCh. 4 - Prob. 10QAPCh. 4 - Prob. 11QAPCh. 4 - Prob. 12QAPCh. 4 - Prob. 13QAPCh. 4 - Prob. 14QAPCh. 4 - Prob. 15QAPCh. 4 - Prob. 16QAPCh. 4 - Prob. 17QAPCh. 4 - Prob. 18QAPCh. 4 - Prob. 19QAPCh. 4 - Prob. 20QAPCh. 4 - Prob. 21QAPCh. 4 - Prob. 22QAPCh. 4 - Prob. 23QAPCh. 4 - Prob. 24QAPCh. 4 - Prob. 25QAPCh. 4 - Prob. 26QAPCh. 4 - Prob. 27QAPCh. 4 - Prob. 28QAPCh. 4 - Prob. 29QAPCh. 4 - Prob. 30QAPCh. 4 - Prob. 31QAPCh. 4 - Prob. 32QAPCh. 4 - Prob. 33QAPCh. 4 - Prob. 34QAPCh. 4 - Prob. 35QAPCh. 4 - Prob. 36QAPCh. 4 - Prob. 37QAPCh. 4 - Prob. 38QAPCh. 4 - Prob. 39QAPCh. 4 - Prob. 40QAPCh. 4 - Prob. 41QAPCh. 4 - Prob. 42QAPCh. 4 - Prob. 43QAPCh. 4 - Prob. 44QAPCh. 4 - Prob. 45QAP
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- The angular resolution of a radio telescope is to be 0.100 when the incident waves have a wavelength of 3.00 mm. What minimum diameter is required for the telescopes receiving dish?arrow_forwardCalculate the limit of resolution of a telescope objective having a diameter of 200 cm, if it has to detect light of wavelength 500 nm coming from a star.. (a) 610 x 10⁹ rad -9 (b) 305 x 10⁹ rad ma (c) 457.5 x 109 rad (d) 152.5 x 10⁹ radarrow_forwardA certain telescope has a 10' × 10' field of view that is re- corded using a CCD chip having 2048 x 2048 pixels. What angle on the sky corresponds to 1 pixel? What would be the di- ameter of a typical seeing disk (1" radius), in pixels?arrow_forward
- A space-based telescope can achieve a diffraction-limited angular resolution of 0.05" for red light (wavelength 700 nm). What would the resolution of the instrument be in the infrared, at wavelength 3.5 μm.arrow_forwardThe magnifying power of a telescope with tube length 60 cm is 5. What is the focal length of its eyepiece?arrow_forwardA diffraction-limited telescope with a 7.6 cm aperture is aimed at target 12.5 km away. Assuming light of 590 nm wavelength and neglecting air turbulence, what size details can be resolved by the telescope?arrow_forward
- A new optical imaging satellite is being designed for the Maritime Domain Awareness mission. The satellite will be placed in a circular orbit at 5000 km altitude and be able to look off of nadir, giving a maximum range to the target of 7000 km. The desired resolution is 3 meters. Assuming the sensor will operate in the SWIR (λ = 1.5 μm), estimate the required diameter of the primary aperture to achieve the desired resolution at the maximum range. Report answer in meters to two significant digits. The required aperture diameter is _____ meters.arrow_forwardCompare the angular resolving power of the following imaging instruments (details of the italicized instruments are to be covered later). Take the wavelength of light as 5 × 10-7 m. (a) the eye with an effective aperture of 0.5 cm (b) a pair of binoculars using a typical aperture of the front lenses (c) the Yerkes Observatory optical telescope, with a diameter of roughly 1.0 m (d) the Manchester radiotelescope, with a diameter of 76.2 m, using microwave radiation of wavelength 22 cm Oarrow_forwardWhat is the limit of resolution for a telescope lens with a diameter of 120 cm when it observes a star at a distance of 4 light-years? Use the wavelength of l = 550 nm in your calculations.arrow_forward
- The Thirty Meter Telescope is a new telescope proposed for the top of the volcano Maunakea that is opposed by many native Hawaiians. Its circular mirror will be 30 m in diameter. In December 2028, Mars will be at its closest approach to Earth (this happens every three years). An astronomer has predicted that, when finished, the telescope will be able to resolve objects that are approximately 2.0 km across on Mars assuming perfect viewing conditions. Approximately how far away is Mars from the Earth when this happens? The dominate wavelengths of visible light coming from Mars are in the range of 500 nm to 700 nm.arrow_forwardThe Atacama Large Millimeter/SubmillimeterArray (ALMA) is designed to operate over the wavelength range λ= 0.3→9.6mm. It will consist of 80 independent 12m telescopes with a maximum baseline of 18km. How large would a single-dish antenna have to be to have the same collecting area as ALMA?arrow_forwardAstronauts observing from a space station need a telescope with a resolving power of 0.6 arc second at a wavelength of 530 nm and a magnifying power of 220. Design a telescope to meet their needs.What will its light-gathering power be, compared with a dark-adapted human eye? (Assume that the pupil of your eye can open to a diameter of about 0.8 cm in dark conditions.)(State the necessary primary diameter of the telescope, in m, and the ratio of the focal lengths below.)arrow_forward
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